

office: MSB 426
office hours: Monday, Wednesday, Friday  11:00am  1:00pm (send me email before coming to confirm time)
*** FINAL EXAM ***
scheduled
Monday
December 14, 10:30am12:30pm
five pages of handwritten notes and a printed page of Laplace transforms
are allowed
Grading policy: there will be 3 midterm tests in class. Each midterm test contributes 30% for the final grade. All quizzes together will be worth 10%. The final exam can replace up to two midterm tests. When the final grade is computed, the lowest scores are not included.
Syllabus: Chapters 15 (see below) and the first half of Chapter 6.
HW: read the assigned sections, including examples, and do the suggested exercises. Ask questions in class. HW is not graded.
1.1 MODELING VIA DIFFERENTIAL EQUATIONS: read the section in the textbook and do all odd exercises
1.2 ANALYTIC TECHNIQUE: SEPARATION OF VARIABLES: read the section in the textbook and do all odd exercises, example 1, example 2, example 3
The 1st QUIZ will be on FRIDAY SEPTEMBER 4 (based on HW for sections 1.1 and 1.2)
1.3 QUALITATIVE TECHNIQUE: SLOPE FIELDS: read the section in the textbook and do odd exercises ##19 odd,
example
L1.nb
L2.pdf
L2.nb
1.4 NUMERICAL TECHNIQUE: EULER'S METHOD: read the section in the textbook and do odd exercises ##19 odd
The 2nd QUIZ will be on FRIDAY SEPTEMBER 11 (based on HW for section 1.4)
1.5 EXISTENCE AND UNIQUENESS OF SOLUTIONS: read the section in the textbook and do odd exercises ##115 odd
1.6 EQUILIBRIA AND THE PHASE LINE: read the section in the textbook and do odd exercises ##137 odd
The 3rd QUIZ will be on WEDNESDAY SEPTEMBER 16 (based on HW for sections 1.5 and 1.6)
1.7 BIFURCATIONS: read the section in the textbook and do odd exercises ##111 odd
1.8 LINEAR EQUATIONS: read the section in the textbook and do odd exercises ##111 odd
1.9
INTEGRATING FACTORS FOR LINEAR EQUATIONS: read the section in the textbook and do odd exercises ##111 odd
The 4th QUIZ will be on WEDNESDAY SEPTEMBER 23 (based on HW for sections 1.7, 1.8 and 1.9)
Review Exercises for Chapter 1: ##149 odd
TEST 1 will be on MONDAY SEPTEMBER 28 (based on HW for Chapter 1).
One twosided handwritten page of notes is allowed.
Calculators are not allowed.
more info and test questions
2.1 MODELING VIA SYSTEMS: read the section in the textbook and do odd exercises ##19, 19, 2529
2.2 THE GEOMETRY OF SYSTEMS: read the section in the textbook and do odd exercises ##111, 19, 2127
2.3 THE DAMPED HARMONIC OSCILLATOR: read the section in the textbook and do odd exercises ##19
The 5th QUIZ will be on WEDNESDAY OCTOBER 7 (based on HW for sections 2.1, 2.2 and 2.3)
2.4 ADDITIONAL ANALYTIC METHODS FOR SPECIAL SYSTEMS: read the section in the textbook and do odd exercises ##19
2.5 EULER'S METHOD FOR SYSTEMS: read the section in the textbook and do odd exercises ##17
2.6 EXISTENCE AND UNIQUENESS FOR SYSTEMS: read the section in the textbook and do odd exercises ##111
The 6th QUIZ will be on WEDNESDAY OCTOBER 14 (based on HW for sections 2.4, 2.5)
Review Exercises for Chapter 2: ##19, 35
3.1 PROPERTIES OF LINEAR SYSTEMS AND THE LINEARITY PRINCIPLE: read the section in the textbook and do odd exercises ##119
3.2 STRAIGHTLINE SOLUTIONS: read the section in the textbook and do odd exercises ##111
3.3 PHASE PORTRAITS FOR LINEAR SYSTEMS WITH REAL EIGENVALUES: read the section in the textbook and do odd exercises ##115
The 7th QUIZ will be on WEDNESDAY OCTOBER 21 (based on HW for sections 3.3)
3.4 COMPLEX EIGENVALUES: read the section in the textbook and do odd exercises ##111, 17, 21
3.5 SPECIAL CASES: REPEATED AND ZERO EIGENVALUES: read the section in the textbook and do odd exercises ##111
The 8th QUIZ will be on WEDNESDAY OCTOBER 28 (based on HW for sections 3.4, 3.5)
3.6 SECONDORDER LINEAR EQUATIONS: read the section in the textbook and do odd exercises ##127
3.7 THE TRACEDETERMINANT PLANE: read the section in the textbook and do odd exercises ##111
Review Exercises for Chapter 3: ##131
TEST 2 will be on MONDAY NOVEMBER 2 (based on HW for Chapters 2 and 3)
One twosided handwritten page of notes is allowed.
Calculators are not allowed.
more info and test questions
4.1 FORCED HARMONIC OSCILLATORS: read the section in the textbook and do odd exercises ##141
4.2 SINUSOIDAL FORCING: read the section in the textbook and do odd exercises ##119
4.3 UNDAMPED FORCING AND RESONANCE: read the section in the textbook and do odd exercises ##121
4.4 AMPLITUDE AND PHASE OF THE STEADY STATE: read the section in the textbook and do odd exercises ##19
Review Exercises for Chapter 4: ##127
The 9th QUIZ will be on MONDAY NOVEMBER 9 (based on HW for sections Chapter 4)
2.7 THE SIR MODEL OF AN EPIDEMIC: read the section in the textbook and do odd exercises ##19
5.1 EQUILIBRIUM POINT ANALYSIS: read the section in the textbook and do odd exercises ##125
5.2 QUALITATIVE ANALYSIS: read the section in the textbook and do odd exercises ##111
5.3 HAMILTONIAN SYSTEMS: read the section in the textbook and do odd exercises ##1119
5.4 DISSIPATIVE SYSTEMS: read the section in the textbook and do odd exercises ##115
Review Exercises for Chapter 5: ##127
The 10th QUIZ will be on WEDNESDAY NOVEMBER 18 (based on HW for sections Chapter 5)
link to quiz 10 info
6.1 LAPLACE TRANSFORMS: read the section in the textbook and do odd exercises ##1525
6.2 DISCONTINUOUS FUNCTIONS: read the section in the textbook and do odd exercises ##19
6.3 SECONDORDER EQUATIONS: read the section in the textbook and do odd exercises ##5, 2731
6.4 DELTA FUNCTIONS AND IMPULSE FORCING: read the section in the textbook and do odd exercises ##1,3,5
Review Exercises for Chapter 6: ##17
The 11th QUIZ will be on WEDNESDAY DECEMBER 2 (based on HW for sections Chapter 6)
TEST 3 will be on MONDAY DECEMBER 7 (based on HW for Chapters 4, 5 and 6)
One twosided handwritten page of notes and a printed page of Laplace transforms
are allowed.
Calculators are not allowed.
more info and test questions